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Simplifying 5(2z + 11) = 3z + 103 + -1z Reorder the terms: 5(11 + 2z) = 3z + 103 + -1z (11 * 5 + 2z * 5) = 3z + 103 + -1z (55 + 10z) = 3z + 103 + -1z Reorder the terms: 55 + 10z = 103 + 3z + -1z Combine like terms: 3z + -1z = 2z 55 + 10z = 103 + 2z Solving 55 + 10z = 103 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 55 + 10z + -2z = 103 + 2z + -2z Combine like terms: 10z + -2z = 8z 55 + 8z = 103 + 2z + -2z Combine like terms: 2z + -2z = 0 55 + 8z = 103 + 0 55 + 8z = 103 Add '-55' to each side of the equation. 55 + -55 + 8z = 103 + -55 Combine like terms: 55 + -55 = 0 0 + 8z = 103 + -55 8z = 103 + -55 Combine like terms: 103 + -55 = 48 8z = 48 Divide each side by '8'. z = 6 Simplifying z = 6
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